Home
Class 12
MATHS
If z1 = sqrt3 + isqrt3 and z2 =sqrt3 + i...

If `z_1 = sqrt3 + isqrt3 and z_2 =sqrt3 + i` , then the complex number `((z_1)/(z_2))^(50)` lies in the :

A

first quadrant

B

second quadrant

C

third quadrant

D

fourth quadrant

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2015

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

  • QUESTION-PAPERS-2017

    BITSAT GUIDE|Exercise MATHEMATICS |45 Videos

Similar Questions

Explore conceptually related problems

Complex number z_1, z_2 and z_3 in AP

If z_(1)=1+i,z_(2)=sqrt(3)+i then arg((z_(1))/(z_(2)))^(50) is

Represent the complex number z=1+isqrt3 in polar form.

For complex number z,|z-1|+|z+1|=2 then z lies on

If |z_(1)|=|z_(2)|=|z_(3)|=1 and z_(1)+z_(2)+z_(3)=sqrt(2)+i , then the complex number z_(2)barz_(3)+z_(3)barz_(1)+z_(1)barz_(2) , is

If |z_(1)| = |z_(2)| = |z_(3)| = 1 and z_(1) + z_(2) + z_(3) = sqrt(2) + i , then the number z_(1)bar(z)_(2)+z_(2)bar(z)_(3) + z_(3)bar(z)_(1) is :

Show that complex numbers z_1=-1+5i and z_2=-3+2i on the argand plane.

If |z_(1)| = sqrt(2), |z_(2)| = sqrt(3) and |z_(1) + z_(2)| = sqrt((5-2sqrt(3))) then arg ((z_(1))/(z_(2))) (not neccessarily principal)

Show that |(2z + 5)(sqrt2-i)|=sqrt(3) |2z+5| , where z is a complex number.

BITSAT GUIDE-QUESTION-PAPERS-2016-MATHEMATICS
  1. If log a, log b, and log c are in A.P. and also log a - log 2b, log 2b...

    Text Solution

    |

  2. Find the sum to n terms of the series: (x+1/x)^(2)+(x^(2)+1/(x^(2)))^(...

    Text Solution

    |

  3. If z1 = sqrt3 + isqrt3 and z2 =sqrt3 + i , then the complex number ((z...

    Text Solution

    |

  4. If the matrix [(1,3,lamda+2),(2,4,8),(3,5,10)] is singular then lamda=

    Text Solution

    |

  5. Let alpha1,alpha2 and beta1,beta2 be the roots of ax^2 + bx+c=0 and p...

    Text Solution

    |

  6. If [] denotes the greatest integer less than or equal to the real numb...

    Text Solution

    |

  7. If alpha, beta are the roots of the equations x^(2) - 2x - 1 = 0. The...

    Text Solution

    |

  8. If a,b and c are real numbers then the roots of the equation (x-a)(x-b...

    Text Solution

    |

  9. What is lim(ntooo)(a^(n)+b^(n))/(a^(n)-b^(n)) where agtbgt1, equal to?

    Text Solution

    |

  10. The number of points at which the function f(x) = 1/(log|x|) is discon...

    Text Solution

    |

  11. If f (x) = {{:(( x log cos x )/( log (1 + x ^(2)))",", x ne 0), ( 0","...

    Text Solution

    |

  12. For any differentiable function y of x, (d^2 x)/(dy^2) ((dy)/(dx))^3 ...

    Text Solution

    |

  13. The set of all values of k for which the function f(x) = (k^2 - 3k + ...

    Text Solution

    |

  14. Match List I with List II and select the correct answer using the code...

    Text Solution

    |

  15. What is the x coordinate of the point on the curve f(x)=sqrt(x)(7x-6) ...

    Text Solution

    |

  16. A wire 34 cm long is to he bent in the form of a quadrilateral of whic...

    Text Solution

    |

  17. Consider the following statement in respect of the function f(x)=x^(...

    Text Solution

    |

  18. At an extreme point of a function f(X) the tangent to the curve is

    Text Solution

    |

  19. The curve y =xe^(x) has minimum value equal to

    Text Solution

    |

  20. A ray of light coming from the point (1,2) is reflected at a pont A on...

    Text Solution

    |